Charmless Non-Leptonic B Decays and R-parity Violating Supersymmetry

Abstract

We examine the charmless hadronic B decay modes in the context of R-parity violating ($\rpv$) supersymmetry. We try to explain the large branching ratio (compared to the Standard Model (SM) prediction) of the decay $B^{\pm}\to η' K^{\pm}$. There exist data for other observed $η^{(\prime)}$ modes and among these modes, the decay $B^{0}\to ηK^{*0}$ is also found to be large compared to the SM prediction. We investigate all these modes and find that only two pairs of $\rpv$ coupling can satisfy the requirements without affecting the other $B\ra PP$ and $B\ra VP$ decay modes barring the decay $B\raϕK$. From this analysis, we determine the preferred values of the $\rpv$ couplings and the effective number of color $N_c$. We also calculate the CP asymmetry for the observed decay modes affected by these new couplings.